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Q.

Find the LCM of $\sqrt{343}$ .

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a

7

\sqrt{7}

b

343

c

7

d

49

answer is A.

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Detailed Solution

Concept- Find the LCM of no. using a high factorization system. Break down theno. 343 as a multiple of high no. also take the root of the high no. 's to get the LCM of 343.
Complete step- by- step answer
LCM is the least common multiple; it also pertains to the smallest common multiple.
For 2 integers a and b, denoted by LCM( a, b) , the LCM is the lowest positive integer that's unevenly separable by both a and b. For illustration LCM(,3) = 6 and LCM(,10) = 30
We can take LCM with a high factorization system.
The system is to break down or express a given no. as a product of high numbers. Where high no. is a whole no. which is lesser than 1, it's only separable by 1 and itself.
∴ LCM of 343=7×7×7
where 7 is a prime no.
∴

\sqrt{343}

=

\sqrt{7 \times 7 \times 7}

= 7

\sqrt{7}

Hence, the answer is option 1

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